The time it took to travel 10 meters is t=10/vcos60. This is the same time it took to reach the max height, h, and fall h+1 meters.
Individually find the time it took the projectile to reach the max height, and then fall h+1 meters. This time is equal to t.
You can use [tex]v^2=u^2-2gh_{max}[/tex] to get the max height.